Suppose a particle travels along a straight line with velocity V(t)=2t^2-6t-12 where 0≤t≤6. a. Find the net displacement of the particle over the time interval [0, 6]. b. Find the total distance traveled by the particle over the time interval [0, 6].

A rock is thrown up in the air from a bridge. Its height above the ground (in meters) t seconds later is given by the function: s(t)= -4.9t^2 + 15t + 20. Determine the average velocity on the interval [3,3.1]. Round answer to two decimal places.

Day traders typically buy and sell stocks (or other investment instruments) during the trading day and sell all investments by the end of the day. The following table shows the closing prices on September 22, 2015, of 12 stocks selected by your broker, Prudence Swift, as well as the change that day. Tech Stocks Close Change AAPL (Apple) $113.40 -1.81 ADBE (Adobe Systems) $84.66 1.34 EBAY (eBay) $25.61 -0.31 MSFT (Microsoft) $3.90 -0.21 S (Sprint) $4.40 0.02 WIFI (Boingo Wireless) $8.51 0.56 Non-Tech Stocks ANF (Abercrombie & Fitch) $21.81 -0.02 в (Воeing) $133.99 -2.03 F (Ford Motor Co.) $13.91 -0.40 GE (General Electric) $25.10 0.01 GIS (General Mills) $57.12 0.33 JNJ (Johnson & Johnson) $93.26 0.13 On the morning of September 22, 2015, Swift advised you to purchase a collection of three tech stocks and two non-tech stocks, all chosen at random from those listed in the table. You were to sell all the stocks at the end of the trading day. (a) How many possible collections are possible?…

A particle moving along a line has velocity in feet per second: v(t) = t^ 2 − 2t − 8, 0 ≤ t ≤ 8. Find the net displacement of the particle during its motion, when the particle is moving forward, when it is moving backwards and the total distance travelled by the particle from time 0 seconds to time 8 seconds.